Pith Number

pith:PYQF3SW5

pith:2016:PYQF3SW5CREYCYLB2HEHESG3MW

not attested not anchored not stored refs pending

Bijections between generalized Catalan families of types A and C

Eleni Tzanaki, Myrto Kallipoliti

arxiv:1610.03959 v1 · 2016-10-13 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYQF3SW5CREYCYLB2HEHESG3MW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:02:22.887289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e205dcadd1449816161d1c87248db658e0d43a60258008129c6bc1a162e9d93

Aliases

arxiv: 1610.03959 · arxiv_version: 1610.03959v1 · doi: 10.48550/arxiv.1610.03959 · pith_short_12: PYQF3SW5CREY · pith_short_16: PYQF3SW5CREYCYLB · pith_short_8: PYQF3SW5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PYQF3SW5CREYCYLB2HEHESG3MW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7e205dcadd1449816161d1c87248db658e0d43a60258008129c6bc1a162e9d93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d358142af3924576001fc2e50117a9b3fc23881eb89533ff47e709893c75960b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-13T07:18:45Z",
    "title_canon_sha256": "2bb3af15d606c59b547c0bd7975671076ad235ce0d5c6e0c89c76a40b21a9928"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03959",
    "kind": "arxiv",
    "version": 1
  }
}